Algebra 1 Released Items 2003

Equations and Inequalities

Which property of real numbers is utilized by rewriting 11x + 5xy as x(11 + 5y)? Associative property for addition Commutative property for addition Closure property for multiplication Distributive property for multiplication over addition 1 2 3 4 5

What is the solution to 2 - 4a = 16? 18 10 -7/2 -9/2 1 2 3 4 5

Tambria’s property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet, what is the value of x? 726 ft 781.25 ft 913.5 ft 1,452 ft 1 2 3 4 5

Which graph best represents the function y = -4/3x + 2? D C. D. 1 2 3 4 5

What is the solution to the inequality 7x - 5 > x + 1? 2 3 4 5

Which line has a negative slope? B C D 1 2 3 4 5

Which line most likely has a slope of ½ and y-intercept 3? B. A B C D C. D. 1 2 3 4 5

What is the slope of the graph of y = 6x - 1? -6 -1 1/6 6 1 2 3 4 5

What is the slope of the line that goes through (-3, 2) and (3, 2)? Undefined 2/3 3/2 1 2 3 4 5

Which equation fits the data in the table? 1 2 3 4 5

Roy works at the local grocery store and is paid $6. 00 per hour Roy works at the local grocery store and is paid $6.00 per hour. The graph shown describes his salary, S, based on the number of hours, t, he works. Which is an equation of the graph shown? S = 6 + t S = 6t S = 6/t S = t/6 1 2 3 4 5

The equation of the line that contains the points (-8, 1) and (0, -5) is — B C D A. B. C. D. 1 2 3 4 5

Which is the solution to the system of equations shown? x = 1, y = 3 x = 2, y = 2 x = 3, y = 1 x = 4, y = 0 1 2 3 4 5

A rectangle has a perimeter of 68 inches A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length and width of the rectangle? Length 22 in., width 12 in. Length 25 in., width 9 in. Length 28 in., width 10 in. Length 22 in., width 8 in. 1 2 3 4 5

This is a graph of a system of equations This is a graph of a system of equations. Which is most likely the solution to the system of equations shown? (0, 5) (1, 0) (3, 2) (2, 3) 1 2 3 4 5

2x2 - 3x + 1 = 0 Which is the solution set for the equation above? D D. C. 1 2 3 4 5

x2 – 4 = 0 Which is the solution set for the equation above? {-4, 1} {-2, 2} {-1, 4} {0, 4} 1 2 3 4 5

Expressions and Operations

What is the value of 3x2 - y2 if x = 1 and y = 3? 12 -3 -6 -12 1 2 3 4 5

Which expression correctly represents $10 less than twice the cost, c? 2 3 4 5

Which is equivalent to A. B. A B C D C. D. 1 2 3 4 5

Consider the following models Consider the following models. What polynomial is represented by the following? 3x2 - x - 5 3x2 - 7x - 5 3x2 + 7x - 5 3x2 + x - 5 1 2 3 4 5

Consider the following models Consider the following models. Which expression represents the area of the diagram below? x2 + 5x + 4 2x + 5 4x + 10 x2 + 4 1 2 3 4 5

The continent of North America has an area of approximately 9 The continent of North America has an area of approximately 9.4 x 106 square miles. The area of Asia is approximately 1.74 x 107 square miles. How many square miles larger is Asia than North America? 7.6 x 101 7.6 x 10-1 8.0 x 106 8.0 x 101 1 2 3 4 5

Which expression is equivalent to (9x + 1)(9x - 1)? 2 3 4 5

What is one of the factors of x2 - 2x - 15? 3 4 5

When completely factored, 4 - 16x + 28y equals — (4 - 7y)(1 + 4x) 4 - 4(4x - 7y) 1 2 3 4 5

The area of a rectangle is represented by the expression 2x2 + 5x + 2 The area of a rectangle is represented by the expression 2x2 + 5x + 2. Which is an equivalent expression for this area? (2x + 2)(x + 1) (2x + 3)(x + 2) (2x + 1)(x + 4) (2x + 1)(x + 2) 1 2 3 4 5

Which is closest to the value of x if x = 2√7? 3.2 3.7 5.3 9.9 1 2 3 4 5

What is the value of √3.2/2 to the nearest tenth? 0.7 0.9 1.3 1.5 1 2 3 4 5

Relations and Functions

The numbers in this table follow a linear pattern The numbers in this table follow a linear pattern. What is the missing value? 7 8 9 10 1 2 3 4 5

Which of these data sets represents a function? B. A B C D C. D. 1 2 3 4 5

Loki said the following graph does not represent a function of x Loki said the following graph does not represent a function of x. Which pair of points could Loki use to prove that her statement is correct? (-3, 4) and (-3,-4) (-4, 3) and (4, 3) (-3, 4) and (4,-3) (-5, 0) and (5, 0) 1 2 3 4 5

What is the apparent range of the function of x shown? The set of all real numbers greater than or equal to 4 The set of all real numbers greater than or equal to 1 The set of all real numbers less than or equal to 1 The set of all real numbers 1 2 3 4 5

Which equation best describes this graph? y = -x y = 2x + 2 y = x - 2 y = x + 2 1 2 3 4 5

If ƒ(x) = -2x + 3, what is ƒ(-4)? -5 -1 5.5 11 1 2 3 4 5

The chart shows how the wholesale price of an item, p, depends on the cost of the materials needed to produce the item, m. Which equation represents this linear relationship? p = m + 3.5 p = 2m + 3 p = 3m + 2.5 p = 4m + 2 1 2 3 4 5

What is the range of the function ƒ(x) = 3x - 1 when the domain is {-1, 0, 1}? {-1, 2} {-1, 0, 1} {1, 2, 4} {-4, -1, 2} 1 2 3 4 5

Which of the following does not represent a function of x? B C D A. B. C. D. 1 2 3 4 5

Which is a zero of the function ƒ(x) = x2 + 6x - 7? -7 -6 7 41 1 2 3 4 5

Jill was looking at a picture of herself and 3 friends Jill was looking at a picture of herself and 3 friends. She measured the height of her image as 10 centimeters. If Jill is actually 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in the picture? h = 10c h = 6c h = 5/3c h = 1/6c 1 2 3 4 5

The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50°F, what is the pressure in the chamber when the temperature of the chamber is 75°F? 175 atm 200 atm 225 atm 275 atm 1 2 3 4 5

Statistics

is equal to which matrix? B. A B C D C. D. 1 2 3 4 5

-2D =? A. B. A B C D C. D. 1 2 3 4 5

Barry’s daily grades for one grading period are shown below Barry’s daily grades for one grading period are shown below. 94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85 What was the mode of his daily grades? 93 92 91 90 1 2 3 4 5

The stem-and-leaf plot shows the results of a science experiment in which 12 plants were each given a different combination of water and nutrients over a period of time and their growth in millimeters measured. What was the median number of millimeters of growth? 14 15 16 17 1 2 3 4 5

Connie made a scatterplot comparing the shoulder heights of her friends’ dogs to their weights. Connie’s dog stands 28 inches to his shoulder. Using a line of best fit for the plot, which is the best prediction for her dog’s weight? 40 pounds 55 pounds 65 pounds 70 pounds 1 2 3 4 5

Scott made a box-and-whisker graph of the soccer goals made by the players in his district. What is the range of the goals made by the players? 24 18 6 4 1 2 3 4 5

Which equation best represents the data shown in the scatterplot? y = 2x - 2 y = x/2 - 2 y = 2x + 2 y = x - 1 1 2 3 4 5